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Abstract Algebra : An Introduction

Abstract Algebra : An Introduction - 2nd edition

ISBN13: 978-0030105593

Cover of Abstract Algebra : An Introduction 2ND 97 (ISBN 978-0030105593)
ISBN13: 978-0030105593
ISBN10: 0030105595
Cover type:
Edition/Copyright: 2ND 97
Publisher: Saunders College Division
Published: 1997
International: No

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Abstract Algebra : An Introduction - 2ND 97 edition

ISBN13: 978-0030105593

Thomas W. Hungerford

ISBN13: 978-0030105593
ISBN10: 0030105595
Cover type:
Edition/Copyright: 2ND 97
Publisher: Saunders College Division

Published: 1997
International: No
Summary

This comprehensive text is designed for a first course in abstract algebra. An emphasis on flexibility and clarity make it suitable for short or long courses at various levels of sophistication. The widely accepted approach of covering rings before groups has been retained from the first edition, making Hungerford the perfect text for both the traditional and reform-oriented instructor.

Table of Contents

Part 1: The Core Course

1 Arithmetic in Z Revisited
2. Congruence in Z and Modular Arithmetic
3. Rings
4. Arithmetic in F[x]
5. Congruence in F[x] and Congruence Class Arithmetic
6. Ideals and Quotient Rings
7. Groups

Part 2: Other Topics

8. Topics in Group Theory
9. Arithmetic in Integral Domains
10. Field Extensions
11. Galois Theory
12. Public-Key Cryptography
13. The Chinese Remainder Theorem
14. Lattices and Boolean Algebras
15. Geometric Constructions
16. Algebraic Coding Theory

Appendices

Answers and suggestions for selected odd-numbered exercises

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Cover of Abstract Algebra: Intro 3rd edition

Abstract Algebra: Intro - 3rd edition

ISBN13: 978-1111569624
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